Question

Solve the following for x. 1/2a+b+2x=1/2a+1/b+1/2x ?????? anyone plzz help urgent for model who ever answers will be BRAINLIEST if it is right

Answer 1

plz mark it brainliest

Answer 2

Given Equation is:

$\frac{1}{2a+b+2x} = \frac{1}{2a} + \frac{1}{b} + \frac{1}{2x}$

$\frac{1}{2a+b+2x} - \frac{1}{2x} = \frac{1}{2a} + \frac{1}{2b}$

On cross-multiplication, we get

$\frac{2x - 2a - b - 2x}{2x(2a + b + 2x)} = \frac{2a + b}{2ab}$

$\frac{-(2a+b)}{2x(2a+b+2x)} = \frac{2a+b}{2ab}$

$\frac{-1}{2x(2a+b+2x)} = \frac{1}{2ab}$

On cross-multiplication, we get

$-2ab = 2x(2a+b+2x)$

-2ab = 4ax + 2bx + 4x^2

4ax + 2bx + 4x^2 + 2ab = 0

2x^2 + 2ax + bx + ab = 0

2x(x + a) + b(x + a) = 0

(2x + b)(x + a) = 0

x = -a (or) x = -b/2


Hope this helps!